Characterizing Average-Case Complexity of PH by Worst-Case Meta-Complexity
Explore the intricacies of average-case complexity in the polynomial hierarchy (PH) through the lens of worst-case meta-complexity in this 22-minute IEEE conference talk. Delve into two key mysteries of complexity theory as Shuichi Hirahara from the National Institute of Informatics presents the main theorem, comparing worst-case and average-case complexity. Examine efficiently samplable distributions and the landscape of average-case complexity. Investigate variants of MINKT, including MINKTA, and their implications. Address open questions on meta-complexity and its relationship to average-case complexity. Discover the corollary of errorless hardness amplification for PH, and conclude with a summary and thought-provoking open question in this advanced exploration of computational complexity theory.